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Using a newly developed laser-microwave-laser resonance method, we observed apair of microwave transitions between hyperfine levels of the $(n,L)=(37,35)$state of antiprotonic helium. This experiment confirms the quadruplet hyperfinestructure due to the interaction of the antiproton orbital angular momentum,the electron spin and the antiproton spin as predicted by Bakalov and Korobov.The measured frequencies of $\nu_{\text HF}^+ =12.89596 \pm 0.00034$ GHz and$\nu_{\text HF}^- =12.92467 \pm 0.00029$ GHz agree with recent theoreticalcalculations on a level of $ 6 \times10^{-5}$.Comment: 4 pages, 4 figures, 1 tabl

Hyperfine Structure of Antiprotonic Helium Revealed by a Laser-Microwave-Laser Resonance Method